What are the solutions to the equation x^2-12=11x ?

The solutions to the equation x^2-12=11x are x=12,x=-1

Find the zeros of x^2-12=11x

The zeros of x^2-12=11x are x=12,x=-1

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x^{2} - 12 = 11 x

x = 12, x = - 1

Solution steps

x^{2} - 12 = 11 x

Move

11 x

to the left side

x^{2} - 12 - 11 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 11 x - 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 1 \cdot ( - 12 )}{2 \cdot 1}

(- 11)^{2} - 4 \cdot 1 \cdot (- 12) = 13

x_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 13}{2 \cdot 1}, x_{2} = \frac{- ( - 11 ) - 13}{2 \cdot 1}

x = \frac{- ( - 11 ) + 13}{2 \cdot 1} : 12

x = \frac{- ( - 11 ) - 13}{2 \cdot 1} : - 1

The solutions to the quadratic equation are:

x = 12, x = - 1

3 x + 5 > - 1 or - 2 x - 7 > 5

6 x = 1

6 x^{2} + 12 x = 0

x^{2} - 17 x + 64 = - 6

x^{2} - 1 - 3 > 2

What are the solutions to the equation x^2-12=11x ?
The solutions to the equation x^2-12=11x are x=12,x=-1
Find the zeros of x^2-12=11x
The zeros of x^2-12=11x are x=12,x=-1